101011313121 has 8 divisors (see below), whose sum is σ = 136578677184. Its totient is φ = 66392412240.

The previous prime is 101011313101. The next prime is 101011313147. The reversal of 101011313121 is 121313110101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101011313121 - 2⁵ = 101011313089 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101011313121.

It is not an unprimeable number, because it can be changed into a prime (101011313101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237115546 + ... + 237115971.

It is an arithmetic number, because the mean of its divisors is an integer number (17072334648).

Almost surely, 2^101011313121 is an apocalyptic number.

It is an amenable number.

101011313121 is a deficient number, since it is larger than the sum of its proper divisors (35567364063).

101011313121 is an equidigital number, since it uses as much as digits as its factorization.

101011313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474231591.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 101011313121 its reverse (121313110101), we get a palindrome (222324423222).

The spelling of 101011313121 in words is "one hundred one billion, eleven million, three hundred thirteen thousand, one hundred twenty-one".